Question

which expressions are equivalent to 13^6 divided (13^8)(13^-4)/13^-2

Answer 1

12357800gysisjhdosks

Answer 2

Question :- which expressions are equivalent to 13^6 divided (13^8)(13^-4)/13^(-2) ?

Solution :-

→ 13⁶ ÷ [ {13⁸ * 13^(-4)} / 13^(-2) ]

Solving Second part first, we get,

→ [ {13⁸ * 13^(-4)} / 13^(-2) ]

using a^b * a^c = a^(b + c) in Numerator , we get,

→ [ 13^(8 - 4) / 13^(-2) ]

→ 13⁴ / 13^(-2)

→ 13⁴ ÷ 13^(-2)

using a^b ÷ a^c = a^(b - c) now , we get,

→ 13^{4 - (-2) }

→ 13^(4 + 2)

→ 13⁶.

Now , Putting this value in question we get,

→ 13⁶ ÷ 13⁶

→ 1 (Ans.)